无限维多体复合量子系统态的约化判据

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英文篇名：The Reduction Criteria for States in Infinite Dimensional Multipartite Quantum Systems 作者：王银珠 ; 刘喜波 英文作者：WANG Yin-zhu;LIU Xi-bo;Department of Mathematics,Taiyuan University of Science and Technology;North China University of Technology; 关键词：无限维系统 ; Bochner积分 ; 量子态 ; 约化判据 英文关键词：infinite dimensional systems;;bochner integral;;quantum states;;reduction criterion 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：太原科技大学数学系;北方工业大学理学院; 出版日期：2014-07-23 出版单位：数学的实践与认识 年：2014 期：v.44 基金：国家自然科学基金(11172194);; 山西省青年科学基金资助(2011021002-2,2010011008) 语种：中文; 页：SSJS201414028 页数：6 CN：14 ISSN：11-2018/O1 分类号：298-303

摘要

在量子信息理论中,量子纠缠态是一种非常重要的资源.探测给定量子态的纠缠性是一个极其重要的研究课题.2001年,Nielsen M A提出了一个判断两体量子态纠缠性的约化判据.之后,2005年William Hall又提出了一个有限维多体复合系统量子态的约化判据.将上述两类判据推广到了无限维多体量子系统情形,给出了无限维多体量子态全可分的两类约化判据.
        In quantum information theory,quantum entangled state is a class very important resource.Detecting entanglement for states is a extremely important problem.In 2001,Nielsen M A proposed a reduction criterion,then William Hall proposed a different reduction criterion for multipartite finite dimensional systems in 2005.In this paper,we generalized above two reduction criteria to infinite dimensional multipartite quantum systems.Two class reduction criteria axe obtained for states in infinite dimensional multipartite quantum systems.

引文

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